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gptkbp:instanceOf
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gptkb:logic
dynamical system
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gptkbp:application
|
fluid dynamics
weather prediction
chaos theory research
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gptkbp:category
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chaotic system
nonlinear system
three-dimensional system
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gptkbp:describes
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atmospheric convection
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gptkbp:dimensions
|
three
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gptkbp:equation1
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dx/dt = σ(y - x)
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gptkbp:equation2
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dy/dt = x(ρ - z) - y
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gptkbp:equation3
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dz/dt = xy - βz
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gptkbp:famousFor
|
gptkb:butterfly_effect
strange attractor
chaotic solutions
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gptkbp:field
|
gptkb:mathematics
chaos theory
dynamical systems
nonlinear dynamics
|
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gptkbp:hasDataVisualization
|
Lorenz attractor plot
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gptkbp:hasEquation
|
ordinary differential equations
|
|
https://www.w3.org/2000/01/rdf-schema#label
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Lorenz system
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gptkbp:influenced
|
chaos theory
complex systems
mathematical modeling
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gptkbp:inventedBy
|
gptkb:Edward_Lorenz
|
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gptkbp:notable_for
|
gptkb:Lorenz_attractor
|
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gptkbp:parameter
|
β (beta)
ρ (rho)
σ (sigma)
|
|
gptkbp:publicationYear
|
1963
|
|
gptkbp:publishedIn
|
gptkb:Journal_of_the_Atmospheric_Sciences
gptkb:Deterministic_Nonperiodic_Flow
|
|
gptkbp:relatedTo
|
deterministic chaos
sensitive dependence on initial conditions
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gptkbp:yearProposed
|
1963
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gptkbp:bfsParent
|
gptkb:Jane_L._Lorenz
gptkb:Lorenz_attractor
|
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gptkbp:bfsLayer
|
4
|